How do you find a tangent line parallel to secant line?
You can find a tangent line parallel to a secant line using the Mean Value Theorem.
The Mean Value Theorem states that if you have a continuous and differentiable function, then
To use this formula, you need a function
I'll also use
So, we know that the slope of this line will be
To find the tangent lines parallel to this secant line, we will take the function's derivative,
Solving this for
So, the lines tangent to